Georgia HomeroomMVC.PAR.2Vectors and 3D Analytic Geometry
Express spatial and functional relationships with vectors, functions, and analytic geometry in three dimensions, and use these relationships to solve contextual, mathematical problems.
Appears in: Mathematics, High School
Expectations
Express the relationships between points, lines, and planes in three dimensions.
MVC.PAR.2.1Represent equations of lines in space using vectors.
MVC.PAR.2.2Express the analytic geometry of three dimensions in terms of the dot product and cross product of vectors.
MVC.PAR.2.3Use a linear system of equations to determine whether two planes intersect in a single point or a line, or whether they do not intersect at all.
Explore functions of two independent variables of the form $z = f(x, y)$ and implicit functions of the form $f(x, y, z) = 0$.
MVC.PAR.2.4Evaluate functions of two independent variables at a point in the plane.
MVC.PAR.2.5Graph the level curves of functions of two independent variables.
MVC.PAR.2.6Investigate the continuity of functions of two independent variables in terms of the limits of such functions as (x, y) approaches a given point in the plane.
MVC.PAR.2.7Determine points or regions of discontinuity of functions of two independent variables.
Georgia Milestones coverage
No Georgia Milestones blueprint cites this standard.